On some new integral inequalities of Growall-Bellman type

Authors
El-Owaidy, H Ragab, A Abdeldaim, A
Citation
H. El-owaidy et al., On some new integral inequalities of Growall-Bellman type, APPL MATH C, 106(2-3), 1999, pp. 289-303
Citations number
16
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
106
Issue
2-3
Year of publication
1999
Pages
289 - 303
Database
ISI
SICI code
0096-3003(199912)106:2-3<289:OSNIIO>2.0.ZU;2-K
Abstract
In this paper, we establish some new integral inequalities of the Gronwall- Bellman type that have a wide range of the applications in the theory of or dinary differential equations. The purpose of this paper is to extend the r esults proved in G.B. Pachpatte [J. Math. Phys. Sci. 8 (1974) 309-318; Bull . Sec. Grece 15(1974) 7-12; J. Math. Phys. Sci. 9 (1975) 405-416; J. Math. An a. Appl. 49 (1975) 794-802; 5 (1975) 141-150; 189 (1995) 128-144; 69 (19 65) 362-367], for the continuous inequalities of Gronwall-Bellman and Reid type. (C) 1999 Published by Elsevier Science Inc. All rights reserved.